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Finding the Fourth Proportional to 92,223.60, 138,335.40 and 82,892.40

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Solution

The fourth proportional to 92,223.60, 138,335.40 and 82,892.40 is: 124,338.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,223.60 : 138,335.40 = 82,892.40 : x
  2. Step 2: Convert to fraction form
    92,223.60/138,335.40 = 82,892.40/x
  3. Step 3: Cross multiply
    92,223.60x = 138,335.40 × 82,892.40
  4. Step 4: Simplify right side
    92,223.60x = 11,466,953,310.96
  5. Step 5: Solve for x
    x = 11,466,953,310.96/92,223.60
  6. Step 6: Final answer
    x = 124,338.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.